Question

Solve angle X to 1 dp

Answer 1

x ≈ 57.8°

Explanation:

using the Sine rule in the triangle

`(11)/(sinx)` =
`(8)/(sin38)` ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx =
`(11sin38)/(8)` , then

x =
`sin^(-1)` (
`(11sin38)/(8)` ) ≈ 57.8° ( to 1 dec. place )